A broken screen on my petcock is causing issues. Where do i find a kit with a new screen. Buying a used petcock with a 10yr screen is only a temporary fix. $90 for a new one is a bit much.

If I pull the hose from the petcock with bike off the gas comes spilling out. My carbs gummed up and I'm going to assume this is the reason why. I have not open it up to clean it out. I'm going toward rebuilding it with a kit. No replacement screen in any kits I've seen though. Anyone have a solution to a broken screen on this unit.

I'm sure there are a lot of petcocks out needing rebuilding by now. A used one is not preferred as it would be needing a rebuild too and the screens are at it's end of life.

The unit to the right side that would be called what The vacuum hose from the front carb goes to that one.

Where is the best place to put a fuel filter. Right after the gas tank petcock?

Edit: My guess is that tank crud had clogged open the fuel petcock because broken fuel filter (what I called a screen). My gummed up carb theory is that the petcock and fuel pumps are clogged with crud so the diaphragm does not close and gas flows to the carbs. I'm sure with no gas flowing into the carbs while the bike is sitting the carbs would be less gummed up.

Have you taken the petcock apart? The only screen that I know of associated with the petcock is the fuel filter that protrudes into the tank. There is a spring that keeps the valve closed inside the petcock that prevents fuel from flowing unless the motor is running and the vacuum from the rear carb overpowers the spring pressure and allows fuel to flow. Gummed up carbs have nothing to do with the petcock. You might want to remove the petcock, carefully disassemble and clean inside and see if there is a problem with the spring keeping the valve closed.
As far as adding another fuel filter, you could install the filter horizontally into the fuel line from the petcock to the fuel pump. However, there is the filter/screen in the tank and each carb float needle seat has a small fuel screeen as well. The rear carb has a vacuum line to the petcock, the front carb vacuum port is plugged, doesn't have a hose unless one was added for carb synching. The part on the right frame side is the vacuum operated fuel pump to the carbs. I believe it receives its vacuum from the rear carb as well, I don't remember. A damaged screen/filter on the petcock would not let fuel leak out the petcock. Only the spring/valve assembly would do that. Sounds like the valve is stuck open inside the petcock.

If you want a petcock with a new filter screen you're going to have to "pay to play."

The cheapest option for you is to use an inline fuel filter like you suggested. You can pick those up at either a car parts store or a bike shop. However, if you tank is full of "junk"...like maybe rust? You're going to need to reline the tank like previously mentioned. Once the tank is clean you should't have any debri to clog up you system and using an inline filter would be extra insurance.

If you do need to take care of a rusted tank try the kit supplied by the people at www.por15.com. I've relined two tanks so far any it really does the job.